Math, asked by pkj3, 1 year ago

how to find dual basis?

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Answered by atraj
1
In linear algebra, given a vector space V with a basis B of vectors indexed by an index set I(the cardinality of I is the dimensionality of V), its dual set is a set B∗ of vectors in the dual space V∗ with the same index set I such that Band B∗ form a biorthogonal system. The dual set is always linearly independent but does not necessarily span V∗. If it does span V∗, then B∗ is called the dual basis or reciprocal basis for the basis B.

pkj3: with example??
pkj3: with example
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